Yao Zhang - Relativity


Relativity, formulated by Albert Einstein, transformed our understanding of space, time, and gravity. The special theory of relativity (1905) unified space and time into four-dimensional spacetime, introducing concepts like time dilation and length contraction for objects moving near the speed of light. The general theory of relativity (1915) expanded this framework, describing gravity as the curvature of spacetime caused by mass and energy, modeled using Riemannian geometry. Relativity has since become a cornerstone of modern physics, explaining phenomena such as black holes and the expansion of the universe. It bridges classical mechanics and quantum physics, shaping the study of cosmology and fundamental forces.

A particularly remarkable resource on this subject is the book A Mathematical Journey to Relativity, which offers a captivating and insightful exploration of Einstein's theory.

Special Relativity

  1. PSL-01    01    02    03    04    05    06    07    08    09    10    11     Notes

General Relativity

  1. Lectures:   MathGR    PSL-01    01    02    03    04    05    06    07    08    09    10    11    12    13    14    15    16    17    18    19    20    21    22    23    24    25    26    27    28

  2. Tutorials:   01    02    03    04    05    06    07    08    09    10    11    12    13    21    23

  3. Evening lectures:   01    02

Gravitational Wave Astrophysics

  1. PSL-01    01    02    03    04    05    06    07    08    09    10    11    12    13    14    15    16    17    18    19    20    21    22    23    24    25    26    27    28    29    30

The Sound of Spacetime

\( \quad \) Black Hole (g)astrophysics:   01    02    03    04    05 \( \qquad \qquad \qquad \qquad \qquad \)     Continous and Transient Gravitational Wave Sources:   01    02    03    04    05

\( \quad \) Modeling of Extreme Mass Ratio in Spirals:   01    02    03    04    05    06 \( \qquad \)   Multimessenger Astronomy:   01    02    03    04    05    IFT

\( \quad \) Non-Vacum Spacetimes and Strong Gravity:   01    02    03    04    05 \( \qquad \qquad   \) Numerical Relativity:   01    02    03    04    05    IFT

\( \quad \) Effective-One-Body Formalism and Gravitational Waveform Construction:   01    02    03    04    05 \( \qquad \) Gravitational Waves Data Analysis:   01    02    03

\( \quad \) The Post-Newtonian Expansion of General Relativity and Analytic Modeling of Gravitational Waves:   01    02    03    04    05    IFT